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at high school 40% of the students buy yearbooks. you select 6 students at random. Find P(exactly two buy yearbooks) and P(at least two buy

Home/Math/at high school 40% of the students buy yearbooks. you select 6 students at random. Find P(exactly two buy yearbooks) and P(at least two buy

at high school 40% of the students buy yearbooks. you select 6 students at random. Find P(exactly two buy yearbooks) and P(at least two buy

Question

at high school 40% of the students buy yearbooks. you select 6 students at random. Find P(exactly two buy yearbooks) and P(at least two buy yearbooks). Explain.

## Answers ( )

Answer:P(exactly two buy yearbooks) = 0.31104P(at least two buy yearbooks) = 0.76672Step-by-step explanation:We are given that at high school 40% of the students buy yearbooks.

You select 6 students at random.

The above situation can be represented through binomial distribution;where, n = number trials (samples) taken = 6 students

r = number of success

p = probability of success which in our question is probability that

students buy yearbooks, i.e; p = 0.40

Let X = Number of students who buy yearbooksSo, X ~ Binom(n = 6, p = 0.40)(a) Now, Probability that exactly two buy yearbooks is given by = P(X = 2)P(X = 2) =

=

=

0.31104(b) Probability that at least two buy yearbooks is given by = P(X2)P(X2) = 1 – P(X = 0) – P(X = 1)

=

=

= 1 – 0.04666 – 0.18662

=

0.76672